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uLineare Regression
•Die Regressionsformel für die lineare Regression ist:
y = A + Bx.
Beispiel: Luftdruck und Temperatur
Die lineare Regression
ausführen, um die Terme und
den Korrelationskoeffizienten
der Regressionsformel für die
nebenstehenden Daten zu
bestimmen. Danach die
Regressionsformel
verwenden, um den Luftdruck
bei 18°C und die Temperatur
bei 1000 hPa zu schätzen.
Zum Schluss noch das
Bestimmtheitsmaß (
r
2
) und
die Stichproben-Kovarianz
berechnen.
In dem REG-Modus:
1
(Lin)
A B 1
(Scl) =
(Stat clear)
10 P1003 S
Mit jedem Drücken der S-Taste zum Registrieren Ihrer Eingabe,
wird die Anzahl der bis zu diesem Zeitpunkt eingegeben
Daten am Display angezeigt (n-Wert).
15 P 1005 S
20 P1010 S 25 P 1011 S
30 P 1014 S
Regressionskoeffizient A =
997,4
A X r r 1 =
Regressionskoeffizient B =
0,56
A X r r 2 =
Korrelationskoeffizient r =
0,982607368
A X r r 3 =
Luftdruck bei 18°C =
1007,48
18 A X r r r 2 =
Te mperatur bei 1000 hPa =
4,642857143
1000 A X r r r 1 =
Temperatur Luftdruck
10°C 1003 hPa
15°C 1005 hPa
20°C 1010 hPa
25°C 1011 hPa
30°C 1014 hPa
1.
n=
REG
35


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